$\"\"$

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Observe the figure :

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The center of the axis is $\"\"$ .

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The asymptotes of the hyperbola are $\"\"$ .

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The vertices of the hyperbola are $\"\"$ and $\"\"$ .

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The transverse axis is parallel to the $\"\"$ -axis.

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The standard form of the equation is $\"\"$ .

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Substiute the values $\"\"$ in the standard form of the equation $\"\"$ .

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$\"\"$

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$\"\"$

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Asymptotes of the hyperbola are $\"\"$ .

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$\"\"$

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$\"\"$ .

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The asymptotes of the hyperbola are $\"\"$ .

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Therefore, $\"\"$ .

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$\"\"$ .

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Substiute the value $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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The vertex is on the parabola at $\"\"$ and $\"\"$ .

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Substitute $\"\"$ .

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Substiute the value $\"\"$ in $\"\"$ .

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$\"\"$

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Substiute $\"\"$ in $\"\"$ .

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$\"\"$

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Substiute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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The equation that represents the graph is $\"\"$ .